Question: Which of the following ordered pairs represents a solution to the linear inequality $y > 2x - 3$?
1. **State the problem:** We need to determine which ordered pair $(x, y)$ satisfies the inequality $$y > 2x - 3$$.
2. **Recall the inequality:** The inequality means the $y$-value must be strictly greater than $2$ times the $x$-value minus $3$.
3. **Test each option:**
- For A: $(3, 2)$
$$2 > 2(3) - 3$$
$$2 > 6 - 3$$
$$2 > 3$$
This is false.
- For B: $(2, 5)$
$$5 > 2(2) - 3$$
$$5 > 4 - 3$$
$$5 > 1$$
This is true.
- For C: $(4, 4)$
$$4 > 2(4) - 3$$
$$4 > 8 - 3$$
$$4 > 5$$
This is false.
- For D: $(9, 12)$
$$12 > 2(9) - 3$$
$$12 > 18 - 3$$
$$12 > 15$$
This is false.
4. **Conclusion:** Only option B satisfies the inequality.
**Final answer:** The ordered pair $(2, 5)$ is a solution to the inequality $y > 2x - 3$.